Look at this diagram:

Question

J
K
L
M
N
O
P
Q




























If
KM
and
NP
are parallel lines and
m
MLO
= 136°, what is
m
NOL
?

Answer 1

To find \( m \angle NOL \), we start by noting the relationships between the angles based on the given information about the parallel lines \( KM \) and \( NP \).

1. Understanding the Diagram: Since \( KM \) and \( NP \) are parallel lines, any transversal that intersects them will create corresponding angles and alternate interior angles.

2. Identifying the Angles: We know \( m \angle MLO = 136^\circ \). Since \( KM \) and \( NP \) are parallel and \( LO \) is a transversal that intersects these parallel lines, angles \( MLO \) and \( NOL \) are on opposite sides of the transversal.

3. Using Alternate Interior Angles: \( m \angle MLO \) and \( m \angle NOL \) are alternate interior angles, which means they are equal in measurement when two parallel lines are cut by a transversal.

4. Calculating \( m \angle NOL \): \[ m \angle NOL = m \angle MLO = 136^\circ. \]

Therefore, the measure of angle \( NOL \) is \( \boxed{136^\circ} \).